1010161152000 has 3328 divisors, whose sum is σ = 5083379159040. Its totient is φ = 191102976000.

The previous prime is 1010161151969. The next prime is 1010161152041. The reversal of 1010161152000 is 2511610101.

It is a happy number.

1010161152000 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 611 + 52 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13837823964 + ... + 13837824036.

It is an arithmetic number, because the mean of its divisors is an integer number (1527457680).

Almost surely, 2^{1010161152000} is an apocalyptic number.

1010161152000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010161152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541689579520).

1010161152000 is an abundant number, since it is smaller than the sum of its proper divisors (4073218007040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010161152000 is a wasteful number, since it uses less digits than its factorization.

1010161152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 1010161152000 its reverse (2511610101), we get a palindrome (1012672762101).

The spelling of 1010161152000 in words is "one trillion, ten billion, one hundred sixty-one million, one hundred fifty-two thousand".